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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.20068 |
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| _version_ | 1866916415701778432 |
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| author | Wu, Han Lv, Chang |
| author_facet | Wu, Han Lv, Chang |
| contents | Base on a conjecture, we prove that for any smooth separated stack of finite type over a number field, its descent obstruction equals its iterated descent obstruction. As a consequence, we show that for any algebraic stack over a number field that has a finite etale covering of a smooth geometrically integral variety, its descent obstruction equals its iterated descent obstruction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20068 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Iterated descent obstructions for algebraic stacks Wu, Han Lv, Chang Number Theory Base on a conjecture, we prove that for any smooth separated stack of finite type over a number field, its descent obstruction equals its iterated descent obstruction. As a consequence, we show that for any algebraic stack over a number field that has a finite etale covering of a smooth geometrically integral variety, its descent obstruction equals its iterated descent obstruction. |
| title | Iterated descent obstructions for algebraic stacks |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.20068 |